34685818693632 has 1008 divisors, whose sum is σ = 116302245040800. Its totient is φ = 10306661253120.

The previous prime is 34685818693621. The next prime is 34685818693633. The reversal of 34685818693632 is 23639681858643.

34685818693632 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 581 + 8 + 6 + 9 + 3 + 6 + 32 = 666.

It is a super-2 number, since 2×34685818693632² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (34685818693633) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8198016957 + ... + 8198021187.

It is an arithmetic number, because the mean of its divisors is an integer number (115379211350).

Almost surely, 2^{34685818693632} is an apocalyptic number.

34685818693632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34685818693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58151122520400).

34685818693632 is an abundant number, since it is smaller than the sum of its proper divisors (81616426347168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34685818693632 is an equidigital number, since it uses as much as digits as its factorization.

34685818693632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4272 counting only the distinct ones).

The product of its digits is 1074954240, while the sum is 72.

The spelling of 34685818693632 in words is "thirty-four trillion, six hundred eighty-five billion, eight hundred eighteen million, six hundred ninety-three thousand, six hundred thirty-two".